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3.3.4 Sequences and series (A-level only)

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Question 41

A geometric sequence has first term $a$ and common ratio $r$ , where $r > 0$ .

Given that

the 2nd term is 12
the 4th term is 6.75

Show that $r = 0.75$ .

[2]

Hence find the value of $a$ .

[1]

Given that the sum of the first $n$ terms of this sequence is greater than 63.5

Find the smallest possible value of $n$ .

(Solutions based entirely on graphical or numerical methods are not acceptable.)

[5]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.3.4 Sequences and series (A-level only)

Question bank

3.3.4 Sequences and series (A-level only)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58

Question 41

A geometric sequence has first term $a$ and common ratio $r$ , where $r > 0$ .

Given that

the 2nd term is 12
the 4th term is 6.75

Show that $r = 0.75$ .

[2]

Hence find the value of $a$ .

[1]

Given that the sum of the first $n$ terms of this sequence is greater than 63.5

Find the smallest possible value of $n$ .

(Solutions based entirely on graphical or numerical methods are not acceptable.)

[5]

Markscheme

3.3.4 Sequences and series (A-level only) Questions

A Level
Maths
3.3.4 Sequences and series (A-level only)

63 exam-style questions on CCEA A Level Maths 3.3.4 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.